13131334410 has 128 divisors (see below), whose sum is σ = 33688258560. Its totient is φ = 3270710016.

The previous prime is 13131334379. The next prime is 13131334427. The reversal of 13131334410 is 1443313131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2813739 + ... + 2818401.

It is an arithmetic number, because the mean of its divisors is an integer number (263189520).

Almost surely, 2^13131334410 is an apocalyptic number.

13131334410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13131334410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16844129280).

13131334410 is an abundant number, since it is smaller than the sum of its proper divisors (20556924150).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13131334410 is a wasteful number, since it uses less digits than its factorization.

13131334410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4812.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 13131334410 its reverse (1443313131), we get a palindrome (14574647541).

The spelling of 13131334410 in words is "thirteen billion, one hundred thirty-one million, three hundred thirty-four thousand, four hundred ten".